| Base | Representation |
|---|---|
| bin | 1101100101101000111… |
| … | …10111110110111011000 |
| 3 | 1122122002222112102202200 |
| 4 | 12302310132332313120 |
| 5 | 30122134412114124 |
| 6 | 554252254530200 |
| 7 | 45505555450146 |
| oct | 6626436766730 |
| 9 | 1578088472680 |
| 10 | 466884488664 |
| 11 | 170006138710 |
| 12 | 7659a806960 |
| 13 | 35047489659 |
| 14 | 18851104596 |
| 15 | c228749bc9 |
| hex | 6cb47bedd8 |
466884488664 has 192 divisors, whose sum is σ = 1392217632000. Its totient is φ = 140174012160.
The previous prime is 466884488657. The next prime is 466884488677.
It is a happy number.
466884488664 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 84 + 488 + 6 + 64 = 666.
466884488664 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4668844886642 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 466884488592 and 466884488601.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44634267 + ... + 44644725.
It is an arithmetic number, because the mean of its divisors is an integer number (7251133500).
Almost surely, 2466884488664 is an apocalyptic number.
466884488664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 466884488664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696108816000).
466884488664 is an abundant number, since it is smaller than the sum of its proper divisors (925333143336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
466884488664 is a wasteful number, since it uses less digits than its factorization.
466884488664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10998 (or 10991 counting only the distinct ones).
The product of its digits is 1358954496, while the sum is 72.
The spelling of 466884488664 in words is "four hundred sixty-six billion, eight hundred eighty-four million, four hundred eighty-eight thousand, six hundred sixty-four".
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